Topics

\( \Large x^{2}-8x+15=0; y^{2}-3y+2=0 \)


A) If x>y

B) \( \Large If x\ge y \)

C) lfx

D) \( \Large If x \le y \)

Correct Answer:
A) If x>y

Description for Correct answer:

\( \Large x^{2} - 8x + 15 = 0 \)

=> \( \Large x^{2} - 5x - 3x + 15 = 0 \)

=> \( \Large x^{2} - 5x - 3x + 15 = 0 \)

=> \( \Large x \left(x-5\right) -3 \left(x-5\right) = 0 \)

=> \( \Large \left(x-5\right) \left(x-3\right) = 0 \)

Therefore, x = 5, 3

and \( \Large y^{2} - 3y + 2 = 0 \)

= \( \Large y^{2} - 2y - y + 2 = 0 \)

= \( \Large y \left(y - 2\right) - 1 \left(y - 2\right) = 0 \)

= y = 2, 1

Therefore, x> y


Part of solved Quadratic Equations questions and answers : >> Elementary Mathematics >> Quadratic Equations




Comments
No comments available




Similar Questions
1). \( \Large x^{2}-32=112; y-\sqrt{169}=0 \)
A). If x>y
B). \( \Large If x\ge y \)
C). lfx
D). If x = y or relation cannot be established
-- View Answer
2). \( \Large x-\sqrt{121}=0; y^{2}-121=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lfx
D). If x = y or relation cannot be established
-- View Answer
3). \( \Large x^{2}-16=0; y^{2}-9y+20=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lf x
D). \( \Large If \ x \le y \)
-- View Answer
4). If \( \Large x^{2} = 6 + \sqrt{6+\sqrt{6 + \sqrt{6+....  ...... \infty}}} \) then what is one of the values of x equal to?
A). 6
B). 5
C). 4
D). 3
-- View Answer
5). The sum of a number and its reciprocal is \( \Large \frac{10}{3} \), then the numbers are
A). \( \Large 3, \frac{1}{3} \)
B). \( \Large 3, -\frac{1}{3} \)
C). \( \Large -3, \frac{1}{3} \)
D). \( \Large -3, -\frac{1}{3} \)
-- View Answer


6). In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
A). \( \Large x^{2}+10x+9=0 \)
B). \( \Large x^{2}-10x+16=0 \)
C). \( \Large x^{2}-10x+9=0 \)
D). None of the above.
-- View Answer
7). The difference in the roots of the equation \( \Large 2x^{2}-11x+5=0 \) is
A). 4.5
B). 4
C). 3.5
D). 3
-- View Answer
8). If one roots of the equation is reciprocal of the other, then which one of the following is correct?
A). a = b
B). b = c
C). ac = 1
D). a = c
-- View Answer
9). Number of solutions of the equation \( \Large \sqrt{x^{2}-x+1}+\frac{1}{\sqrt{x^{2}-x+1}}=2-x^{2} \) is
A). 0
B). 1
C). 2
D). 4
-- View Answer
10). If \( \Large x = \sqrt{\frac{\sqrt{5}+1}{\sqrt{5}-1}} \), then \( \Large x^{2}-x-1 \) is equal to
A). 0
B). 1
C). 2
D). 5
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us